Next: Eigenvalues and eigenvectors.
Previous: Matrix inversion.
Consider a system of linear equations like 1, where the number of rows equals the number of
unknowns, i.e. p=n. We can write it in matricial form AX=B, where
- A=aij is the coefficient matrix of the system (v.s. refrestricted matrix)
- B is a matrix of order
whose single column is identical to the last column of the augmented
matrix of the system (v.s. refaugmented matrix).
- X is the unknown one-column matrix
Suppose that A is invertible. We have: